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Simplifying 6(3x + 6) = 6x + 24 Reorder the terms: 6(6 + 3x) = 6x + 24 (6 * 6 + 3x * 6) = 6x + 24 (36 + 18x) = 6x + 24 Reorder the terms: 36 + 18x = 24 + 6x Solving 36 + 18x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 36 + 18x + -6x = 24 + 6x + -6x Combine like terms: 18x + -6x = 12x 36 + 12x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + 12x = 24 + 0 36 + 12x = 24 Add '-36' to each side of the equation. 36 + -36 + 12x = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 12x = 24 + -36 12x = 24 + -36 Combine like terms: 24 + -36 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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